105531268 has 36 divisors (see below), whose sum is σ = 196910028. Its totient is φ = 49466560.

The previous prime is 105531233. The next prime is 105531269. The reversal of 105531268 is 862135501.

It can be written as a sum of positive squares in 2 ways, for example, as 70862724 + 34668544 = 8418^2 + 5888^2 .

It is a super-2 number, since 2×105531268² = 22273697051375648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105531269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111678 + ... + 112618.

It is an arithmetic number, because the mean of its divisors is an integer number (5469723).

Almost surely, 2^105531268 is an apocalyptic number.

It is an amenable number.

105531268 is a deficient number, since it is larger than the sum of its proper divisors (91378760).

105531268 is a wasteful number, since it uses less digits than its factorization.

105531268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105531268 is about 10272.8412817487. The cubic root of 105531268 is about 472.5637296345.

Adding to 105531268 its reverse (862135501), we get a palindrome (967666769).

It can be divided in two parts, 1055 and 31268, that added together give a palindrome (32323).

The spelling of 105531268 in words is "one hundred five million, five hundred thirty-one thousand, two hundred sixty-eight".